We characterize choice rules for schools that regard students as substitutes while expressing preferences for a diverse student body. The stable (or fair) assignment of students to schools requires the latter to regard the former as substitutes. Such a requirement is in conflict with the reality...

Written by more than fifty top researchers from economics, OR, and algorithm design, this text comprehensively covers a major inter-disciplinary field and its important applications from the basics to state of the art. Key chapters discuss efficiency, fairness and incentives, and market design...

We present an experimental study of decentralized two‐sided matching markets with no transfers. Experimental participants are informed of everyone's preferences and can make arbitrary nonbinding match offers that get finalized when a period of market inactivity has elapsed. Several insights...